Search a number
-
+
213320021122120 = 23511484818229823
BaseRepresentation
bin110000100000001101110000…
…000101010001110001001000
31000222022012021001022222221111
4300200031300011101301020
5210430013400401401440
62033405510445220104
762634601661620153
oct6040156005216110
91028265231288844
10213320021122120
1161a74570755760
121bb12a23561634
139204cb7937903
143a96a5bbb0c9a
15199de239244ea
hexc20370151c48

213320021122120 has 32 divisors (see below), whose sum is σ = 523603688209920. Its totient is φ = 77570916771520.

The previous prime is 213320021122009. The next prime is 213320021122123. The reversal of 213320021122120 is 21221120023312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213320021122091 and 213320021122100.

It is not an unprimeable number, because it can be changed into a prime (213320021122123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242409114472 + ... + 242409115351.

It is an arithmetic number, because the mean of its divisors is an integer number (16362615256560).

Almost surely, 2213320021122120 is an apocalyptic number.

213320021122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213320021122120 is an abundant number, since it is smaller than the sum of its proper divisors (310283667087800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213320021122120 is a wasteful number, since it uses less digits than its factorization.

213320021122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484818229845 (or 484818229841 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 213320021122120 its reverse (21221120023312), we get a palindrome (234541141145432).

The spelling of 213320021122120 in words is "two hundred thirteen trillion, three hundred twenty billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 484818229823 969636459646 1939272919292 2424091149115 3878545838584 4848182298230 5333000528053 9696364596460 10666001056106 19392729192920 21332002112212 26665002640265 42664004224424 53330005280530 106660010561060 213320021122120